Least Common Multiple of 62/22, 99/80, 48/56, 87/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/22, 99/80, 48/56, 87/678 quickly i.e. 712008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/22, 99/80, 48/56, 87/678 is 712008.

LCM(62/22, 99/80, 48/56, 87/678) = 712008

LCM of 62/22, 99/80, 48/56, 87/678

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 62/22,99/80,48/56,87/678

Given numbers are 62/22,99/80,48/56,87/678

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 62,99,48,87

Least Common Multiple of Numerators i.e. LCM of 62,99,48,87 is 1424016.

GCF of Denominators means GCF of 22,80,56,678 as per the given fractions.

GCF of 22,80,56,678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,99,48,87

LCM of Fractions 62/22,99/80,48/56,87/678 is 712008

2 62, 99, 48, 87
3 31, 99, 24, 87
31, 33, 8, 29

∴ So the LCM of the given numbers is 2 x 3 x 31 x 33 x 8 x 29 = 1424016

Least Common Multiple of 62,99,48,87 with GCF Formula

Least Common Multiple of 62,99,48,87 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 62,99,48,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,99,48,87) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(62,99,48,87) x common factors =1 x 18 = 18

LCM(62,99,48,87) = ( 62 × 99 × 48 × 87 ) / 18

LCM(62,99,48,87) = 25632288 / 18

LCM(62,99,48,87) = 1424016


Lets's calculate GCF of 22,80,56,678

2 22, 80, 56, 678
11, 40, 28, 339

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1424016/2

Therefore the LCM of Fractions 62/22,99/80,48/56,87/678 is 712008

Greatest Common Factor of 22,80,56,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,80,56,678 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 22,80,56,678 . The biggest common factor number is the GCF number.
So the greatest common factor 22,80,56,678 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/22, 99/80, 48/56, 87/678

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 62/22, 99/80, 48/56, 87/678?

Answer: LCM of Numerators as per given numbers 62/22, 99/80, 48/56, 87/678 is

LCM of Numerators i.e. for 62,99,48,87 is 1424016

GCF of denominators i.e. for 22,80,56,678 is 2.

Thus, LCM of Fractions is 712008.Finally, LCM of Fractions for 62/22, 99/80, 48/56, 87/678 is 712008.